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Finding the Fourth Proportional to 202,209.66, 301,238.83 and 193,111.74

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Solution

The fourth proportional to 202,209.66, 301,238.83 and 193,111.74 is: 287,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.66 : 301,238.83 = 193,111.74 : x
  2. Step 2: Convert to fraction form
    202,209.66/301,238.83 = 193,111.74/x
  3. Step 3: Cross multiply
    202,209.66x = 301,238.83 × 193,111.74
  4. Step 4: Simplify right side
    202,209.66x = 58,172,754,616.86
  5. Step 5: Solve for x
    x = 58,172,754,616.86/202,209.66
  6. Step 6: Final answer
    x = 287,685.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.